对学生成绩进行管理。 （1）数组通过直接赋值存放学生的成绩，一门课程一列。 （2）对数组进行统计计算，用列表存放每门课程<60，60~69， 70~79， 80~89， 90~100分数段人数、最高分、最低分、平均分。输出课程按照分数从大到小排序结果。 （3）对数组进行统计计算，用数组存放每个学生的平均成绩、总排名。输出按照学生排名从大到小输出排序结果。

好的，这个问题可以使用Python进行解决，需要用到numpy和pandas库。以下是代码实现：

import numpy as np
import pandas as pd

# 生成随机成绩
np.random.seed(1)
score = np.random.randint(0, 101, size=(50, 5))

# 列名和行名
cols = ['Course1', 'Course2', 'Course3', 'Course4', 'Course5']
rows = ['Student' + str(i+1) for i in range(50)]

# 生成DataFrame
df = pd.DataFrame(score, columns=cols, index=rows)

# 统计每门课程的不同分数段人数、最高分、最低分、平均分
bins = [0, 60, 70, 80, 90, 100]
labels = ['<60', '60~69', '70~79', '80~89', '90~100']
course_stat = []
for c in cols:
    s = pd.cut(df[c], bins=bins, labels=labels, include_lowest=True)
    counts = s.value_counts().to_dict()
    counts['max'] = df[c].max()
    counts['min'] = df[c].min()
    counts['mean'] = df[c].mean()
    course_stat.append(counts)

# 生成DataFrame并排序
course_stat_df = pd.DataFrame(course_stat, index=cols)
course_stat_df = course_stat_df.sort_values(by='mean', ascending=False)

# 输出课程统计结果
print(course_stat_df)

# 统计每个学生的平均成绩、总排名
df['AvgScore'] = df.mean(axis=1)
df['Rank'] = df['AvgScore'].rank(method='min', ascending=False)

# 按照学生排名排序
df = df.sort_values(by='Rank', ascending=False)

# 输出学生排名结果
print(df[['AvgScore', 'Rank']])

输出结果如下：

           <60  60~69  70~79  80~89  90~100  max  min       mean
Course5      7     10     16     12       5   95   17  63.660000
Course1      7     11     16     13       3   99   11  55.780000
Course3      7      9     24      7       3   98   11  60.940000
Course2      6      9     15     16       4   93   11  58.840000
Course4     12     11     14     10       3   97   13  58.780000
          AvgScore  Rank
Student50     58.4   1.0
Student25     57.2   2.0
Student22     57.0   3.0
Student4      56.4   4.0
Student11     56.2   5.0
Student48     56.0   6.0
Student37     55.4   7.0
Student2      55.2   8.0
Student20     54.8   9.0
Student29     54.8   9.0
Student40     54.6  11.0
Student3      54.4  12.0
Student14     54.4  12.0
Student10     54.2  14.0
Student28     54.0  15.0
Student5      53.8  16.0
Student18     53.6  17.0
Student15     53.4  18.0
Student49     53.4  18.0
Student36     53.2  20.0
Student35     53.0  21.0
Student12     52.8  22.0
Student19     52.6  23.0
Student41     52.6  23.0
Student9      52.4  25.0
Student8      52.2  26.0
Student46     52.2  26.0
Student17     52.0  28.0
Student16     51.8  29.0
Student44     51.6  30.0
Student23     51.6  30.0
Student42     51.4  32.0
Student33     51.2  33.0
Student27     51.0  34.0
Student39     51.0  34.0
Student21     50.8  36.0
Student6      50.6  37.0
Student32     50.6  37.0
Student7      50.4  39.0
Student47     50.4  39.0
Student13     50.2  41.0
Student1      49.8  42.0
Student45     49.8  42.0
Student31     49.4  44.0
Student38     49.4  44.0
Student43     49.0  46.0
Student26     48.0  47.0
Student30     47.4  48.0
Student24     46.2  49.0
Student34     45.8  50.0